The swarm model we used for this preliminary study follows the model in
[1]}. It is a system of \(N\)  agents in \(n\) -dimensional space
with position vectors \(x_i\in \mathbb {R}^{n} \) , acting under the following equation of motion:
\(\ddot{x}_i=(\alpha -\beta \vert \dot{x}_i\vert ^2)\dot{x}_i-\frac{\lambda }{N}\sum _{j=1,i\ne j}^N \nabla _{x_i}U(x_i,x_j),\) 
